기하학적 비선형성을 고려한 종단 질량을 갖는 회전하는 외팔보의 모달 분석
- Title
- 기하학적 비선형성을 고려한 종단 질량을 갖는 회전하는 외팔보의 모달 분석
- Other Titles
- Modal Analysis for the Rotating Cantilever Beam with a Tip Mass Considering the Geometric Nonlinearity
- Author
- 정진태
- Keywords
- Rotating Cantilever Beam; 회전하는 외팔보; Tip Mass; 종단 질량; von Karman Strain; 본 카르만 변형률; Modal Analysis; 모달 분석; Natural Frequency; 고유진동수
- Issue Date
- 2016-06
- Publisher
- 한국소음진동공학회
- Citation
- 한국소음진동공학회논문집, v. 26, No. 3, Page. 281-289
- Abstract
- In this paper, a new dynamic model for modal analysis of a rotating cantilever beam with a tip-mass is developed. The nonlinear strain such as von Karman type and the corresponding linearized stress are used to consider the geometric nonlinearity, and Euler-Bernoulli beam theory is applied in the present model. The nonlinear equations of motion and the associated boundary conditions which include the inertia of the tip-mass are derived through Hamilton's principle. In order to investigate modal characteristics of the present model, the linearized equations of motion in the neighborhood of the equilibrium position are obtained by using perturbation technique to the nonlinear equations. Since the effect of the tip-mass is considered to the boundary condition of the flexible beam, weak forms are used to discretize the linearized equations. Compared with equations related to stiffening effect due to centrifugal force of the present and the previous model, the present model predicts the dynamic characteristic more precisely than the another model. As a result, the difference of natural frequencies loci between two models become larger as the rotating speed increases. In addition, we observed that the mode veering phenomenon occurs at the certain rotating speed.
- URI
- https://www.dbpia.co.kr/Journal/ArticleDetail/NODE06694236https://repository.hanyang.ac.kr/handle/20.500.11754/102535
- ISSN
- 1598-2785
- Appears in Collections:
- COLLEGE OF ENGINEERING SCIENCES[E](공학대학) > MECHANICAL ENGINEERING(기계공학과) > Articles
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